38 lines
851 B
Python
38 lines
851 B
Python
import math
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# 题目3
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A = [3, 4]
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B = [1, 2]
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A_plus_B = [A[0]+B[0], A[1]+B[1]]
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two_A = [2*A[0], 2*A[1]]
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norm_A = math.sqrt(A[0]**2 + A[1]**2)
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print("题目3结果：")
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print(f"A+B = {A_plus_B}")
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print(f"2*A = {two_A}")
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print(f"A的模 = {norm_A}")
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# 题目4
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A = [1, 2, 3]
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B = [4, 5, 6]
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dot_product = sum(a*b for a,b in zip(A,B))
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norm_A = math.sqrt(sum(a**2 for a in A))
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norm_B = math.sqrt(sum(b**2 for b in B))
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cos_sim = dot_product / (norm_A * norm_B)
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print("\n题目4-1、2结果：")
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print(f"点积 = {dot_product}")
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print(f"余弦相似度 = {cos_sim:.4f}")
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# 题目4-3
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A2 = [1, 0]
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B2 = [0, 1]
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dot_product2 = sum(a*b for a,b in zip(A2,B2))
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norm_A2 = math.sqrt(sum(a**2 for a in A2))
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norm_B2 = math.sqrt(sum(b**2 for b in B2))
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cos_sim2 = dot_product2 / (norm_A2 * norm_B2)
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print("\n题目4-3结果：")
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print(f"余弦相似度 = {cos_sim2}") |